We now turn our attention to large \(r\) .
It is easily seen that Eq. (REF ) is identical to that for a particle in a box in flat spacetime as in Ref. [1]}.
For a detailed analysis, we refer the reader
to Eq. (11) of Ref. [1]} and the
subsequent discussion.
Solving Eq. (REF ) and
keeping terms up to the leading order in \(\alpha \) , we obtain a solution for \(\psi (r)\)  of the form
\(\psi (r)=\,A\,e^{ik^{\prime }\,r}+\,B\,e^{-ik^{\prime \prime }\,r}+\,Ce^{\frac{i\,r}{2\alpha \hbar }}\) 
